Question

2. Quadrilateral PQRS with P(-5, 1). Q(-2,6), R(3,7), and S(6,4); dilate by a scale factor of 4 12 a. Is this an enlargement or reduction? How do you know? 14 b. What are the vertices of the image after the transformation?

Answer 1

Answer and Explanation:

Given the vertices of the quadrilateral PQRS as P(-5, 1). Q(-2,6), R(3,7), and S(6,4), let's go ahead and dilate with a scale factor of 4 as shown below;

`P(-5,1)\rightarrow P^(\prime)(-5*4,1*4)\rightarrow P^(\prime)(-20,4)`
`Q(-2,6)\rightarrow Q^(\prime)(-2*4,6*4)\rightarrow Q^(\prime)(-8,24)`
`R(3,7)\rightarrow R^(\prime)(3*4,7*4)\rightarrow R^(\prime)(12,28)`
`S(6,4)\rightarrow S^(\prime)(6*4,4*4)\rightarrow S^(\prime)(24,16)`

We can see from the above coordinates of the vertices of the image that an enlargement occurred since the coordinates of the image are 4 times larger than that of the pre-image.